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Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro
(2003)
*Tests for bivariate symmetry against ordered alternatives in square contingency tables.*
Australian & New Zealand Journal of Statistics, 45
(1).
pp. 115-123.
ISSN 1369-1473

PDF
Restringido a Repository staff only 145kB |

Official URL: http://onlinelibrary.wiley.com/doi/10.1111/1467-842X.00265/pdf

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http://onlinelibrary.wiley.com | Publisher |

## Abstract

Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I-2 possible combinations of classifications. Let p(ij) = Pr(X = i, Y = j). This paper introduces a family of tests based on phi-divergence measures for testing H-0: p(ij) = p(ji) against H-1: p(ij) greater than or equal to p(ji) (i greater than or equal to j); and for testing H-1 against H-2: p(ij) unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test.

Item Type: | Article |
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Uncontrolled Keywords: | chi-bar squared distribution; contingency table; φ-divergence measure |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 17528 |

Deposited On: | 21 Dec 2012 11:34 |

Last Modified: | 26 Jul 2018 07:21 |

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